Order versions of the Hahn-Banach theorem and envelopes. II: Applications to function theory

DOI10.1007/s10958-021-05490-4zbMath1481.46002arXiv1812.11058OpenAlexW3194799983MaRDI QIDQ2047418

E. B. Khabibullina, A. P. Rozit, Bulat N. Khabibullin

Publication date: 20 August 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.11058

zbMATH Keywords

Hahn-Banach theoremprojective limitholomorphic functionvector lattice(pluri)subharmonic functionzero subset

Mathematics Subject Classification ID

Lattices of continuous, differentiable or analytic functions (46E05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Ordered topological linear spaces, vector lattices (46A40)

Related Items (3)

POISSON-JENSEN FORMULAS AND BALAYAGE OF MEASURES ⋮ The Logarithm of the Modulus of an Entire Function as a Minorant for a Subharmonic Function outside a Small Exceptional Set ⋮ Preorders on subharmonic functions and measures with applications to the distribution of zeros of holomorphic functions

Cites Work

• Holomorphic minorants of plurisubharmonic functions
• The logarithm of the modulus of a holomorphic function as a minorant for a subharmonic function
• Non-compact versions of Edwards' theorem
• Dirichlet problems for plurisubharmonic functions on compact sets
• Hahn-Banach type theorems for hypolinear functionals
• Hahn-Banach extension theorems for multifunctions revisited
• Smallest plurisuperharmonic majorant and multipliers of entire functions. II: Algebras of functions of finite \(\lambda\)-type
• The Hahn-Banach theorem: The life and times
• On the distribution of zero sets of holomorphic functions
• Generalizations of Nevanlinna's theorems
• From Hahn--Banach to monotonicity
• Extended and sandwich versions of the Hahn-Banach theorem
• Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
• Subsequences of zeros for classes of holomorphic functions, their stability, and the entropy of arcwise connectedness. II
• On Zero Duality Gap and the Farkas Lemma for Conic Programming
• A Note on the Extension of Linear Funtionals
• Zero sequences of holomorphic functions, representation of meromorphic functions, and harmonic minorants
• THE GENERALIZED BITANGENT CARATHÉODORY-NEVANLINNA-PICK PROBLEM, AND $ (j,J_0)$-INNER MATRIX-VALUED FUNCTIONS
• THE THEOREM ON THE LEAST MAJORANT AND ITS APPLICATIONS. II. ENTIRE AND MEROMORPHIC FUNCTIONS OF FINITE ORDER
• Variant of a problem on the representation of a meromorphic function as a quotient of entire functions
• Dual representation of superlinear functionals and its applications in function theory. I
• Dual representation of superlinear functionals and its applications in function theory. II
• An approximate Hahn–Banach theorem for positively homogeneous functions
• The distribution of the zeros of holomorphic functions of moderate growth in the unit disc and the representation of meromorphic functions there
• Notions of convexity
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